Frequency-dependent conductivity in multilayer assemblies

Abstract
The frequency behavior of conductivity in the multilayer assemblies as a hoping system have been studied by applying the extended Montroll-Weiss formalism. For "heterogeneous assemblies" consisting of different layers, a frequency dispersion is predicted as characteristic of each superstructure in layer sequence, while the "homogeneous assemblies" with identical layers are found to show a frequency-independent conductivity. The dispersion frequency, in contrast to that for the Maxwell-Wagner-type interface polarization, is immediately related to the transition rate of carriers traversing the individual layers. It is suggested that the precise information of electron transitions between localized states is obtainable by employing various heterogeneous structures realized as the actual assemblies of monomolecular layers.